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I am getting,( -5, 25) as the vertices of the 4rth vertex

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by [email protected] » Mon Aug 12, 2013 5:55 pm
ABCD is a parallelogram on xy rectangular coordinate plane, three of the four vertices of parallelogram are (5,15) , (5,25) and (-5,15). Which can be the coordinate of fourth vertex?

A. (-5,-5)
B. (5,15)
C. (-5,-25)
D. (-5,10)
E. (15,25)
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by Brent@GMATPrepNow » Mon Aug 12, 2013 6:50 pm
[email protected] wrote:ABCD is a parallelogram on xy rectangular coordinate plane, three of the four vertices of parallelogram are (5,15) , (5,25) and (-5,15). Which can be the coordinate of fourth vertex?

A. (-5,-5)
B. (5,15)
C. (-5,-25)
D. (-5,10)
E. (15,25)
A vertex at (-5, 25) does, indeed, create a parallelogram.
Image
BUT, (-5, 25) is not one of the answer choices.


A vertex at [spoiler](15, 25)[/spoiler] also creates a parallelogram.
Image

Answer: E

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by ganeshrkamath » Tue Aug 13, 2013 12:11 am
[email protected] wrote:ABCD is a parallelogram on xy rectangular coordinate plane, three of the four vertices of parallelogram are (5,15) , (5,25) and (-5,15). Which can be the coordinate of fourth vertex?

A. (-5,-5)
B. (5,15)
C. (-5,-25)
D. (-5,10)
E. (15,25)
Connect the three dots.
Now to form a parallelogram you can make any one of the lines of the triangle the diagonal of the parallelogram.

You will now get three possible coordinates for the 4th vertex of the parallelogram : (-5,25) , (15,25) , (-5,5)

The only one available in the options is (15,25) which is E.

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